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Finding the Fourth Proportional to 9,715.72, 14,560.62 and 5,557

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Solution

The fourth proportional to 9,715.72, 14,560.62 and 5,557 is: 8,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.72 : 14,560.62 = 5,557 : x
  2. Step 2: Convert to fraction form
    9,715.72/14,560.62 = 5,557/x
  3. Step 3: Cross multiply
    9,715.72x = 14,560.62 × 5,557
  4. Step 4: Simplify right side
    9,715.72x = 80,913,365.34
  5. Step 5: Solve for x
    x = 80,913,365.34/9,715.72
  6. Step 6: Final answer
    x = 8,328.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.